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Finding the Third Proportional to 141,206 and 275,317

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Solution

The third proportional to 141,206 and 275,317 is: 536,800.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,206 : 275,317 = 275,317 : x
  2. Step 2: Convert to fraction form
    141,206/275,317 = 275,317/x
  3. Step 3: Cross multiply
    141,206x = 275,317 × 275,317
  4. Step 4: Simplify right side
    141,206x = 75,799,450,489
  5. Step 5: Solve for x
    x = 75,799,450,489/141,206
  6. Step 6: Final answer
    x = 536,800.49

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.